Elliptic modular forms arising from zeta functions in two variables attached to the space of binary Hermitian forms

DOI10.1006/JNTH.2000.2572zbMath1014.11031OpenAlexW2092502219MaRDI QIDQ5929408

Takahiko Ueno

Publication date: 23 August 2002

Published in: Journal of Number Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jnth.2000.2572

zbMATH Keywords

binary Hermitian formsmodular forms for \(\Gamma_0(N)\)prehomogeneous vector spacesWeil's converse theoremzeta functions of several variables

Mathematics Subject Classification ID

Analytic theory (Epstein zeta functions; relations with automorphic forms and functions) (11E45) Other Dirichlet series and zeta functions (11M41) Langlands (L)-functions; one variable Dirichlet series and functional equations (11F66) Holomorphic modular forms of integral weight (11F11) Prehomogeneous vector spaces (11S90)

Related Items (5)

Eisenstein series whose Fourier coefficients are zeta functions of binary Hermitian forms ⋮ The fundamental theorem of prehomogeneous vector spaces modulo $p^m$ (With an appendix by F. Sato) ⋮ Modular forms arising from zeta functions in two variables attached to prehomogeneous vector spaces related to quadratic forms ⋮ Dirichlet series of two variables, real analytic Jacobi-Eisenstein series of matrix index, and Katok-Sarnak type result ⋮ Dirichlet series and automorphic functions associated to a quadratic form

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Zeta-functions of binary Hermitian forms and special values of Eisenstein series
• Sums involving the values at negative integers of \(L\)-functions of quadratic characters
• On L-functions associated with the vector space of binary quadratic forms
• L-functions and character sums for quadratic forms (I)
• Zeta functions in several variables associated with prehomogeneous vector spaces. I: Functional equations
• On Dirichlet series whose coefficients are class numbers of integral binary cubic forms

This page was built for publication: Elliptic modular forms arising from zeta functions in two variables attached to the space of binary Hermitian forms